“It is unfathomable that Governor Lynch would veto this responsible bill,” O’Brien said in a statement.

“Overriding this veto will be a priority, and I would hope that all the gubernatorial candidates of both parties will join in our efforts.”

The Legislature is expected to take up this veto and others when it returns for a one-day session on June 27.

The House of Representatives and the Senate adopted the legislation by better than the two-thirds majority vote needed to override a governor’s veto.

House Majority Leader Peter Silva, R-Nashua, said Lynch vetoed the bill because of political support from the abortion rights community.

“Once again, the governor has sided with liberal interest groups over the best interests of New Hampshire citizens,” Silva said.

During the 2012 session, O’Brien got behind more than a half dozen anti-abortion bills that cleared the House.

Among other things, they would have made women wait at least 24 hours before they could have an abortion and would ban all abortions after a 20-week pregnancy.

But the Senate killed or put off most of the measures, except for the ban on late-term abortions.

The Senate and House have also approved and sent to Lynch two minor bills, one of which would create a study committee that would explore how to compel health care providers to report annually on the number of abortions performed in the state.

The other, which has already become law, gives judicial administrators more time to decide whether a minor would have to tell a parent before having an abortion.

In 2011, the Republican-led Legislature passed over Lynch’s veto a parental notification law.